Nature

Finite Element Methods for Wave Propagation and Poisson Equation Solutions

Finite element methods (FEM) continue to be a cornerstone of computational science, offering robust strategies for the numerical solution of partial differential equations, including those governing ...
JSTOR Daily

The Fast Solution of Poisson's and the Biharmonic Equations on Irregular Regions

SIAM Journal on Numerical Analysis, Vol. 21, No. 2 (Apr., 1984), pp. 285-299 (15 pages) We present fast methods for solving Laplace's and the biharmonic equations on irregular regions with smooth ...
JSTOR Daily

Almost Periodic Solutions of Poisson's Equation

It is well known that if $f(t)$ is almost periodic with respect to a real variable $t$, and if $F(t) = \int^tf(s)ds$ is bounded for $- \infty < t < \infty$, then $F(t ...
Nature

Global Existence and Regularity of Solutions in Euler-Poisson and Euler-Maxwell Systems

The study of the Euler-Poisson and Euler-Maxwell systems, which couple fluid dynamics with electrostatic or electromagnetic fields, has long been central to the modelling of plasmas and other ionised ...
lse

Partial Differential Equations

This course is available on the BSc in Mathematics and Economics, BSc in Mathematics with Data Science, BSc in Mathematics with Economics and BSc in Mathematics, Statistics and Business. This course ...